您可以像这样实现自定义转换器：

[TestFixture]
public class CustomJsonSerialization
{
    [Test]
    public void Test()
    {
        string serializeObject = JsonConvert.SerializeObject(true, new BoolConverter());
        Assert.That(serializeObject, Is.EqualTo("1"));
        var deserializeObject = JsonConvert.DeserializeObject<bool>(serializeObject, new BoolConverter());
        Assert.That(deserializeObject, Is.True);
    }
}

public class BoolConverter : JsonConverter
{
    public override void WriteJson(JsonWriter writer, object value, JsonSerializer serializer)
    {
        writer.WriteValue(((bool)value) ? 1 : 0);
    }

    public override object ReadJson(JsonReader reader, Type objectType, object existingValue, JsonSerializer serializer)
    {
        return reader.Value.ToString() == "1";
    }

    public override bool CanConvert(Type objectType)
    {
        return objectType == typeof(bool);
    }
}